ODE No. 972

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y'(x)=\frac {x \left (-2 x^4+2 x^2 y(x)-x^2+1\right )}{y(x)-x^2} \] Mathematica : cpu = 0.0256571 (sec), leaf count = 32

\[\left \{\left \{y(x)\to \frac {1}{2} \left (W\left (-e^{c_1+x^4-2 x^2-1}\right )+1\right )+x^2\right \}\right \}\] Maple : cpu = 0.122 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={x}^{2}+{\frac {1}{2}{\it lambertW} \left ( -2\,{\frac {{{\rm e}^{{x}^{4}}}{\it \_C1}\,{{\rm e}^{-1}}}{ \left ( {{\rm e}^{{x}^{2}}} \right ) ^{2}}} \right ) }+{\frac {1}{2}} \right \} \]